Synthetic Division Divide. 1) (n* – 5n3 _n +5) + (n -5)

Q: а (x²*) = dx

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Q: limn0 In(2n-3) -) is 8. n+5 Select one: 2 non of them

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Q: 1. (2Y²-6) (2Y+9)

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Q: (2n)! – (2n + 1)! (2n)!

A: It is required to find out , 2n! - 2n+1!2n!  For this we use factorial properties.

Q: (n-1)! Use Euler's theorem to prove that if n is an odd integer, then n divides 2 -1.

A: Using Euler theorem to prove it.

Q: Show that 2 x ²dx (x²+1)²(x²2x+2) S 81 Z 775 50

A: FORMULAS:1.If f(x)=p(x)q(x) and degree of q(x) is greater than p(x) by atleast 2 and q(x) have only…

Q: 1. (2Y²-6) (2Y+9) 2.xXx-Y) (x+1) 3.rx-pry+1

A: This is a question of counting and finite math.

Q: 311,321

A: Given (2n3-10n+28)n+3 We use synthetic division method n=-3 2 0 0 -6 -10 18 28 -24   2…

Q: 3) (n² + 10n+18) ÷ (n+ 5)

A: To divide the following expression.n2+10n+18÷n+5

Q: Find the quotient. x - 64 - (x* + 4x+ 16) x+5 O x+ 5 X- 4 O x-5 X- 4 Ох-4 X+5 O x+4 X+ 5

A: Explanation of the answer is as follows

Q: nere to search

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Q: Show that (a) 8n −3n is divisible by 5 for all natural numbers n.  (b) n2 −n +41 is odd for all…

A: expansion of (a+b)n = hco an bo + nc1 an-1 b1 +.......... +ncn ao b n

Q: 00 (2n +1)" n2n n=1

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Q: Q5: Find the residue of 8 1+5z2

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Q: 16 n+ 3 2: Find the remainder when 5 + 2 (14!) is divided by 17.

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Q: Find the remainder when 1! + 2! + 3! + **. + 1000! is divided by 13.

A: We have to solve

Q: 12 + 4j express both (a) – and (b) z +- in the form x + yj. If z =- 9- 7j ... (Simplify your answer.…

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Q: >(6k – 4)(7k + 3) - k=1 Enter your answer as a number without any arithmetic symbols. Sum =

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Q: zu +16n + 20.

A: Given: An expression n2+16n+20 To find All possible remainder when it is divided by 11.As per our…

Q: Factor x – 36 O (x – 36) (x + 36) O (x + 6) (x – 6) O (x – 6)2 O (x + 6)²

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Q: Find 2(2k + 2). k-3 O 8+ 10+ 12 + 14 + 16+ 18; 78 8+ 10+ 12+ 14 + 16; 18 O 10+ 12 + 14 + 16+ 18; 8 O…

A: ∑k=38(2k+2)=(2×3+2)+(2×4+2)+(2×5+2)+(2×6+2)+(2×7+2)+(2×8+2)…

Q: 1+2 - 2x2 + (P₁ +P+1) 2"

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Q: 3[2+4(5+2*3)]

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Q: um 1+4+7+..

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Q: o 5 (10 - 2 3) + 8

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Q: Polynomial - Addition & Subtraction Simplify each expression. 1) (6v4 + 3v) + (7v4+2+5v) 3) (4x² -…

A: if there's any problem, plz make a clarification request. Step 2: Step 3: Step 4:

Q: Prove (n + 6)² – (n + 2)² is always a multiple of 8. (Use direct proof.)

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Q: 5 3 32-21+21 +1 palmomial using LDM. Divide the Di

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Q: 2(n-3)+n(2-n)=2-n2

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Q: find the coefficient of t8 in expansion of 2t(3+t)20

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Q: True or False. Briefly explain If p is odd prime then p divides 2p−1+(p−1)!.

A: Given: is an odd primeTo check:The prime divides  or not.Results used:Wilson's Theorem:For any…

Q: (c) How many strings of four decimal digits have exactly three digits that are 9? (d) Write down the…

A: We have to find the coefficient.

Q: algebriac proof of 8x+12=52

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Q: -n 2n+5

A: We have given a series.